IDEAS home Printed from https://ideas.repec.org/a/eee/dyncon/v35y2011i10p1789-1799.html
   My bibliography  Save this article

Impatience, pollution, and indeterminacy

Author

Listed:
  • Yanase, Akihiko

Abstract

This paper examines an equilibrium growth model in which production activities generate environmental pollution that has a negative welfare effect and in which individual households' subjective discount rate is a function of individual consumption, which is internal to each household, and of total pollution, which is an external factor to the individual agents. It is shown that there may exist multiple steady states and that the dynamic equilibrium may display indeterminacy, depending on the properties of the discount-rate function, the pollution-capital relationship in production technology, and the pollution-consumption relationship in instantaneous utility. The long-run effects of tighter environmental policy are subsequently examined, and the results are also found to be dependent on the above factors.

Suggested Citation

  • Yanase, Akihiko, 2011. "Impatience, pollution, and indeterminacy," Journal of Economic Dynamics and Control, Elsevier, vol. 35(10), pages 1789-1799, October.
    • Handle: RePEc:eee:dyncon:v:35:y:2011:i:10:p:1789-1799
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165188911001175
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Chen, Been-Lon & Hsu, Mei, 2007. "Admiration is a source of indeterminacy," Economics Letters, Elsevier, vol. 95(1), pages 96-103, April.
    2. Brock, William A. & Taylor, M. Scott, 2005. "Economic Growth and the Environment: A Review of Theory and Empirics," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 1, chapter 28, pages 1749-1821, Elsevier.
    3. Xepapadeas, Anastasios, 2005. "Economic growth and the environment," Handbook of Environmental Economics, in: K. G. Mäler & J. R. Vincent (ed.), Handbook of Environmental Economics, edition 1, volume 3, chapter 23, pages 1219-1271, Elsevier.
    4. Benhabib Jess & Farmer Roger E. A., 1994. "Indeterminacy and Increasing Returns," Journal of Economic Theory, Elsevier, vol. 63(1), pages 19-41, June.
    5. Benhabib Jess & Perli Roberto, 1994. "Uniqueness and Indeterminacy: On the Dynamics of Endogenous Growth," Journal of Economic Theory, Elsevier, vol. 63(1), pages 113-142, June.
    6. Schumacher, Ingmar, 2009. "Endogenous discounting via wealth, twin-peaks and the role of technology," Economics Letters, Elsevier, vol. 103(2), pages 78-80, May.
    7. Gary S. Becker & Casey B. Mulligan, 1997. "The Endogenous Determination of Time Preference," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(3), pages 729-758.
    8. Jess Benhabib & Qinglai Meng & Kazuo Nishimura, 2012. "Indeterminacy Under Constant Returns to Scale in Multisector Economies," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 403-412, Springer.
    9. Karp, Larry & Paul, Thierry, 2007. "Indeterminacy with environmental and labor dynamics," Structural Change and Economic Dynamics, Elsevier, vol. 18(1), pages 100-119, March.
    10. Weitzman Martin L., 1994. "On the Environmental Discount Rate," Journal of Environmental Economics and Management, Elsevier, vol. 26(2), pages 200-209, March.
    11. Ken‐Ichi Hirose & Shinsuke Ikeda, 2008. "On Decreasing Marginal Impatience," The Japanese Economic Review, Japanese Economic Association, vol. 59(3), pages 259-274, September.
    12. Le Kama, Alain Ayong & Schubert, Katheline, 2007. "A Note On The Consequences Of An Endogenous Discounting Depending On The Environmental Quality," Macroeconomic Dynamics, Cambridge University Press, vol. 11(2), pages 272-289, April.
    13. Perez, Rafaela & Ruiz, Jesus, 2007. "Global and local indeterminacy and optimal environmental public policies in an economy with public abatement activities," Economic Modelling, Elsevier, vol. 24(3), pages 431-452, May.
    14. Meng, Qinglai, 2006. "Impatience and equilibrium indeterminacy," Journal of Economic Dynamics and Control, Elsevier, vol. 30(12), pages 2671-2692, December.
    15. Jess Benhabib & Kazuo Nishimura, 2012. "Indeterminacy and Sunspots with Constant Returns," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 311-346, Springer.
    16. Mino, Kazuo, 2001. "Indeterminacy and Endogenous Growth with Social Constant Returns," Journal of Economic Theory, Elsevier, vol. 97(1), pages 203-222, March.
    17. Itaya, Jun-ichi, 2008. "Can environmental taxation stimulate growth? The role of indeterminacy in endogenous growth models with environmental externalities," Journal of Economic Dynamics and Control, Elsevier, vol. 32(4), pages 1156-1180, April.
    18. Karen Pittel, 2002. "Sustainability and Endogenous Growth," Books, Edward Elgar Publishing, number 2776.
    19. Muller-Furstenberger, Georg & Wagner, Martin, 2007. "Exploring the environmental Kuznets hypothesis: Theoretical and econometric problems," Ecological Economics, Elsevier, vol. 62(3-4), pages 648-660, May.
    20. Obstfeld, Maurice, 1990. "Intertemporal dependence, impatience, and dynamics," Journal of Monetary Economics, Elsevier, vol. 26(1), pages 45-75, August.
    21. El Hadji Fall, 2005. "Dynamique des ressources renouvelables et actualisation endogène," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00197141, HAL.
    22. Elbert Dijkgraaf & Herman Vollebergh, 2005. "A Test for Parameter Homogeneity in CO 2 Panel EKC Estimations," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 32(2), pages 229-239, October.
    23. Nishimura, Kazuo & Shimomura, Koji, 2002. "Indeterminacy in a dynamic small open economy," Journal of Economic Dynamics and Control, Elsevier, vol. 27(2), pages 271-281, December.
    24. Carlos de Miguel & Xavier Labanderia & Baltasar Manzano (ed.), 2006. "Economic Modelling of Climate Change and Energy Policies," Books, Edward Elgar Publishing, number 4025.
    25. Das, Mausumi, 2003. "Optimal growth with decreasing marginal impatience," Journal of Economic Dynamics and Control, Elsevier, vol. 27(10), pages 1881-1898, August.
    26. Philippe Michel & Gilles Rotillon, 1995. "Disutility of pollution and endogenous growth," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 6(3), pages 279-300, October.
    27. Tahvonen Olli & Kuuluvainen Jari, 1993. "Economic Growth, Pollution, and Renewable Resources," Journal of Environmental Economics and Management, Elsevier, vol. 24(2), pages 101-118, March.
    28. Epstein, Larry G., 1987. "A simple dynamic general equilibrium model," Journal of Economic Theory, Elsevier, vol. 41(1), pages 68-95, February.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Fernández, Esther & Pérez, Rafaela & Ruiz, Jesús, 2012. "The environmental Kuznets curve and equilibrium indeterminacy," Journal of Economic Dynamics and Control, Elsevier, vol. 36(11), pages 1700-1717.
    2. François Belle-Larant & Hugo Mauron & Pascal da Costa, 2021. "Climate Change and Degrowth: a Nordhaus' DICE Model Set of Simulations based on Endogenous Discounting," Working Papers hal-03146625, HAL.
    3. Vella, Eugenia & Dioikitopoulos, Evangelos V. & Kalyvitis, Sarantis, 2015. "Green Spending Reforms, Growth, And Welfare With Endogenous Subjective Discounting," Macroeconomic Dynamics, Cambridge University Press, vol. 19(6), pages 1240-1260, September.
    4. Chu, Hsun & Lai, Ching-chong & Liao, Chih-hsing, 2016. "A Note On Environment-Dependent Time Preferences," Macroeconomic Dynamics, Cambridge University Press, vol. 20(6), pages 1652-1667, September.
    5. John M. Hartwick & Ngo Van Long, 2020. "Sustainability with endogenous discounting," International Journal of Economic Theory, The International Society for Economic Theory, vol. 16(2), pages 216-221, June.
    6. Giovanni Bella & Paolo Mattana, 2018. "Global indeterminacy and equilibrium selection in a model with depletion of non-renewable resources," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 41(2), pages 187-202, November.
    7. Evangelos V. Dioikitopoulos & Sugata Ghosh & Eugenia Vella, 2016. "Technological Progress, Time Perception and Environmental Sustainability," Working Papers 2016002, The University of Sheffield, Department of Economics.
    8. José Gaspar & Liliana Garrido-da-Silva & Paulo B. Vasconcelos & Óscar Afonso, 2023. "Local and global indeterminacy and transition dynamics in a growth model with public goods," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 22(2), pages 271-314, May.
    9. Hartwick, John M. & Long, Ngo Van, 2018. "Sustainability with endogenous discounting when utility depends on consumption and amenities," Mathematical Social Sciences, Elsevier, vol. 95(C), pages 31-36.
    10. Dioikitopoulos, Evangelos V. & Ghosh, Sugata & Karydas, Christos & Vella, Eugenia, 2020. "Roads to prosperity without environmental poverty: The role of impatience," Economics Letters, Elsevier, vol. 186(C).
    11. Cyrus Chu, C.Y. & Lai, Ching-Chong & Liao, Chih-Hsing, 2014. "How could the non-sustainable Easter Island have been sustained?," International Review of Economics & Finance, Elsevier, vol. 34(C), pages 161-174.
    12. Yusen Gao & Changsheng Hu & Yue Yang, 2022. "Will tougher environmental policy reduce the employment of industrial enterprises? The heterogeneity analysis based on enterprise level and city level," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 43(6), pages 1810-1834, September.
    13. Antoci, Angelo & Borghesi, Simone & Galeotti, Marcello & Russu, Paolo, 2022. "Maladaptation to environmental degradation and the interplay between negative and positive externalities," European Economic Review, Elsevier, vol. 143(C).
    14. Akihiko Yanase, 2014. "Indeterminacy and Pollution Haven Hypothesis in a Dynamic General Equilibrium Model," Open Economies Review, Springer, vol. 25(5), pages 959-980, November.
    15. Six, M. & Wirl, F., 2015. "Optimal pollution management when discount rates are endogenous," Resource and Energy Economics, Elsevier, vol. 42(C), pages 53-70.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Akihiko Yanase, 2014. "Indeterminacy and Pollution Haven Hypothesis in a Dynamic General Equilibrium Model," Open Economies Review, Springer, vol. 25(5), pages 959-980, November.
    2. Kawagishi, Taketo, 2014. "Investment for patience in an endogenous growth model," Economic Modelling, Elsevier, vol. 42(C), pages 508-515.
    3. Bouché, Stéphane, 2017. "Learning by doing, endogenous discounting and economic development," Journal of Mathematical Economics, Elsevier, vol. 73(C), pages 34-43.
    4. Ken-Ichi Hirose & Shinsuke Ikeda, 2015. "Decreasing Marginal Impatience and Capital Accumulation in a Two-Country World Economy," Metroeconomica, Wiley Blackwell, vol. 66(3), pages 474-507, July.
    5. Schumacher, Ingmar, 2011. "Endogenous discounting and the domain of the felicity function," Economic Modelling, Elsevier, vol. 28(1-2), pages 574-581, January.
    6. Chu, Hsun & Lai, Ching-chong & Liao, Chih-hsing, 2016. "A Note On Environment-Dependent Time Preferences," Macroeconomic Dynamics, Cambridge University Press, vol. 20(6), pages 1652-1667, September.
    7. Evangelos V. Dioikitopoulos & Sugata Ghosh & Eugenia Vella, 2016. "Technological Progress, Time Perception and Environmental Sustainability," Working Papers 2016002, The University of Sheffield, Department of Economics.
    8. Ingmar, SCHUMACHER, 2006. "On optimality, endogeneous discounting and wealth accumulation," Discussion Papers (ECON - Département des Sciences Economiques) 2006058, Université catholique de Louvain, Département des Sciences Economiques.
    9. Taketo Kawagishi & Kazuo Mino, 2016. "Time Preference and Income Convergence in a Dynamic Heckscher–Ohlin Model," Review of International Economics, Wiley Blackwell, vol. 24(3), pages 592-603, August.
    10. Zhang Wei-Bin, 2013. "Habit Formation and Preference Change with Capital and Renewable Resources," Business Systems Research, Sciendo, vol. 4(2), pages 108-125, December.
    11. Vella, Eugenia & Dioikitopoulos, Evangelos V. & Kalyvitis, Sarantis, 2015. "Green Spending Reforms, Growth, And Welfare With Endogenous Subjective Discounting," Macroeconomic Dynamics, Cambridge University Press, vol. 19(6), pages 1240-1260, September.
    12. Wei-Bin Zhang, 2013. "Dynamic Interactions among Growth, Environmental Change, Habit Formation, and Preference Change," The International Journal of Economic Behavior - IJEB, Faculty of Business and Administration, University of Bucharest, vol. 3(1), pages 3-25, December.
    13. Antoci, Angelo & Galeotti, Marcello & Russu, Paolo, 2011. "Poverty trap and global indeterminacy in a growth model with open-access natural resources," Journal of Economic Theory, Elsevier, vol. 146(2), pages 569-591, March.
    14. ZHANG, Wei-Bin, 2013. "Habit Formation And Preference Change In A Twosector Growth Model With Elastic Labor Supply," Academica Science Journal, Economica Series, Dimitrie Cantemir University, Faculty of Economical Science, vol. 1(2), pages 3-20, May.
    15. Liutang Gong & Wei Wang, 2020. "Self‐fulfilling patience," Australian Economic Papers, Wiley Blackwell, vol. 59(4), pages 336-357, December.
    16. Eric Bond & Kazumichi Iwasa & Kazuo Nishimura, 2011. "A dynamic two country Heckscher–Ohlin model with non-homothetic preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 48(1), pages 171-204, September.
    17. Takashi Hayashi, 2020. "Investment in time preference and long-run distribution," The Japanese Economic Review, Springer, vol. 71(2), pages 171-190, April.
    18. Akihiko Yanase & Yukio Karasawa-Ohtashiro, 2019. "Endogenous time preference, consumption externalities, and trade: multiple steady states and indeterminacy," Journal of Economics, Springer, vol. 126(2), pages 153-177, March.
    19. Takeo Hori & Noritaka Maebayashi, 2013. "Indeterminacy and utility-generating government spending under balanced-budget fiscal policies," Discussion Papers in Economics and Business 13-13, Osaka University, Graduate School of Economics.
    20. Nishimura, Kazuo & Shimomura, Koji, 2002. "Indeterminacy in a dynamic small open economy," Journal of Economic Dynamics and Control, Elsevier, vol. 27(2), pages 271-281, December.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:dyncon:v:35:y:2011:i:10:p:1789-1799. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jedc .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.